yea you could give it a few hours of outdoor sun a day to start with and move it up, do it in the morning or evening where sun is`t so strong, tho I don't know how your climate are aso. but a big changes in light/wether/climate can stress a plant, specially a auto in flowering, but since yours only 1 week old I guess its not flowering yet, I would introduce it to the "great" out door a little at the time over the next week or two ..
back indoors ? why ? if its Bc. you wont have good enough wether for the next 2 months then ok, hope you got some more light then a few CLFs then, big flowering plants (even auto`s) need strong light, but if we are talking last week or so it might be all right ..
just my opinion ..